Woo-Jin would like to bring several books from his favorite series in his backpack. The backpack can hold up to a depth of 10\dfrac{1}{2}10
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10, start fraction, 1, divided by, 2, end fraction inches of materials. Woo-Jin's laptop and a notebook fill a total of 333 inches of that depth. Each book would fill 1.51.51, point, 5 inches of the depth of the backpack. Only one stack of books can fit the height and width of the backpack. If xxx represents the number of books that Woo-Jin could carry in his backpack, which of the following inequalities best models the situation described above?
A. 3+1.5x<10.5
B.3+1.5x<10.5
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C.3x+1.5<10.5
D.3x+1.5<10.5
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Inequalities help us to compare two unequal expressions. The inequalities that best model the situation is 3+1.5x≤10.5. The correct option is B.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given the following details about the backpack, notebook and laptop.

The depth that the backpack can hold = 10¹/₂ inches = 10.5 inches

Depth of laptop and notebook = 3 inches

Depth of a single book = 1.5 inches

Now, the number of books that the backpack can hold is x. Therefore, the inequality can be written as,

Depth of laptop and notebook + Depth of x books < Depth that the backpack can hold

3 inches + 1.5x inches < 10.5 inches

3 + 1.5x < 10.5

Hence, the inequalities that best model the situation is 3+1.5x≤10.5.

Learn more about Inequality here:

https://brainly.com/question/19491153

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